MinT - Information on Result #1814798

Information on Result #1814798

Digital (21, 57, 610)-net over F₂₅₆, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(256⁵⁷, 610, F₂₅₆, 4, 36) (dual of [(610, 4), 2383, 37]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(256¹⁹, 289, F₂₅₆, 4, 18) (dual of [(289, 4), 1137, 19]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,1137P) [i] based on function field F/F₂₅₆ with g(F) = 1 and N(F) ≥ 289, using
    - sharp bound on the number of rational points on curves with genus 1 [i]
2. linear OOA(256³⁸, 321, F₂₅₆, 4, 36) (dual of [(321, 4), 1246, 37]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,1247P) [i] based on function field F/F₂₅₆ with g(F) = 2 and N(F) ≥ 321, using
    - sharp bound on the number of rational points on curves with genus 2 [i]

Mode: Linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

None.